Algebraic Bethe ansatz for the totally asymmetric simple exclusion process with boundaries Auteur(s): Crampé N. (Article) Publié: Journal Of Physics A: Mathematical And Theoretical, vol. 48 p.08FT01 (2015) Texte intégral en Openaccess : Ref HAL: hal-01110888_v1 Ref Arxiv: 1411.7954 DOI: 10.1088/1751-8113/48/8/08FT01 WoS: 000349100100001 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 22 Citations Résumé: We study the one-dimensional totally asymmetric simple exclusion process in contact with two reservoirs including also a fugacity at one boundary. The eigenvectors and the eigenvalues of the corresponding Markov matrix are computed using the modified algebraic Bethe ansatz, method introduced recently to study the spin chain with non-diagonal boundaries. We provide in this case a proof of this method. |